A099932 Triangle read by rows: nonzero coefficients of polynomials 2^n*E(n,x), with E the Euler polynomials.
1, 2, -1, 4, -4, 8, -12, 2, 16, -32, 16, 32, -80, 80, -16, 64, -192, 320, -192, 128, -448, 1120, -1344, 272, 256, -1024, 3584, -7168, 4352, 512, -2304, 10752, -32256, 39168, -7936, 1024, -5120, 30720, -129024, 261120, -158720, 2048, -11264
Offset: 0
Examples
1, 2*x - 1, 4*x^2 - 4*x, 8*x^3 - 12*x^2 + 2, 16*x^4 - 32*x^3 + 16*x, 32*x^5 - 80*x^4 + 80*x^2 - 16, 64*x^6 - 192*x^5 + 320*x^3 - 192*x